Matrix: Janna/Serena

Description: gas resevoir simulation for CO2 sequestration

Janna/Serena graph
(undirected graph drawing)

Janna/Serena dmperm of Janna/Serena

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  • Matrix group: Janna
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  • download as a MATLAB mat-file, file size: 378 MB. Use UFget(2541) or UFget('Janna/Serena') in MATLAB.
  • download in Matrix Market format, file size: 300 MB.
  • download in Rutherford/Boeing format, file size: 242 MB.

    Matrix properties
    number of rows1,391,349
    number of columns1,391,349
    structural full rank?yes
    structural rank1,391,349
    # of blocks from dmperm9,229
    # strongly connected comp.9,229
    explicit zero entries399,730
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorC. Janna, M. Ferronato
    editorT. Davis
    kindstructural problem
    2D/3D problem?yes


    Authors: Carlo Janna and Massimiliano Ferronato                    
    Symmetric Positive Definite Matrix                                 
    # equations:   1,391,349                                           
    # non-zeroes: 64,531,701                                           
    Problem description: structural problem                            
    The matrix Serena is obtained from a structural problem            
    discretizing a gas reservoir with tetrahedral Finite Elements.     
    The medium is strongly heterogeneous and characterized by a        
    complex geometry consisting of alternating sequences of thin       
    clay and sand layers.  Some further information may be found       
    in the paper:                                                      
    M. Ferronato, G. Gambolati, C. Janna, P. Teatini. "Geomechanical   
    issues of anthropogenic CO2 sequestration in exploited gas fields",
    Energy Conversion and Management, 51, pp. 1918-1928, 2010.         

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD7,502,311,154
    Cholesky flop count2.2e+14
    nnz(L+U), no partial pivoting, with AMD15,003,230,959
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD11,091,348,271
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD19,624,945,409

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 399730 explicit zero entries.

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.